A jack-up with displacement of 10,000 kips has its LCG 100 feet aft of frame zero (AFO). If 200 kips are loaded at 60 feet AFO and 100 kips are discharged from 20 feet AFO, what is the new LCG?

Correct Answer: Option A — 100.0 feet

Applying standard longitudinal stability moments (Moment = Weight x Arm), the initial moment is 10,000 x 100 = 1,000,000 ft-kips. Loading 200 kips at 60 ft adds 12,000 ft-kips, and discharging 100 kips at 20 ft removes 2,000 ft-kips. Final displacement is 10,100 kips, yielding 1,010,000 / 10,100 = 100.0 feet.